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Table 3 Error estimates between the exact and regularized solutions for \(\tau = 1.8\), \(\alpha \in \{0.52, 0.62, 0.72, 0.82, 0.92\}\)

From: Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method

α \(\mathit{Err}^{\beta _{\mathrm{pri}}}\) \(\mathit{Err}^{\beta _{\mathrm{pos}}}\)
  ϵ = 0.0001
0.52 0.077602462311104 0.077544342977239
0.62 0.047271805697450 0.047192018901400
0.72 0.028296574111022 0.028307819519103
0.82 0.016920298564528 0.016962577259079
0.92 0.010151270279964 0.010110524205060
  ϵ = 0.00001
0.52 0.077472454648553 0.077480496522115
0.62 0.047159886813125 0.047166399068891
0.72 0.028302374036182 0.028294614661429
0.82 0.016904097025631 0.016899494878404
0.92 0.010096298360581 0.010097434555097